YES

NOTE: input TRS is reduced

original is
   3: c2() -> c1()
   4: c0() -> c0()
   5: c1() -> c1()
   6: g0(g0(c0())) -> c2()

reduced to
   3: c2() -> c1()
   6: g0(g0(c0())) -> c2()

0.01